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Refined composite multivariate generalized multiscale fuzzy entropy: A tool for complexity analysis of multichannel signals

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  • Azami, Hamed
  • Escudero, Javier

Abstract

Multiscale entropy (MSE) is an appealing tool to characterize the complexity of time series over multiple temporal scales. Recent developments in the field have tried to extend the MSE technique in different ways. Building on these trends, we propose the so-called refined composite multivariate multiscale fuzzy entropy (RCmvMFE) whose coarse-graining step uses variance (RCmvMFEσ2) or mean (RCmvMFEμ). We investigate the behavior of these multivariate methods on multichannel white Gaussian and 1/f noise signals, and two publicly available biomedical recordings. Our simulations demonstrate that RCmvMFEσ2 and RCmvMFEμ lead to more stable results and are less sensitive to the signals’ length in comparison with the other existing multivariate multiscale entropy-based methods. The classification results also show that using both the variance and mean in the coarse-graining step offers complexity profiles with complementary information for biomedical signal analysis. We also made freely available all the Matlab codes used in this paper.

Suggested Citation

  • Azami, Hamed & Escudero, Javier, 2017. "Refined composite multivariate generalized multiscale fuzzy entropy: A tool for complexity analysis of multichannel signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 261-276.
  • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:261-276
    DOI: 10.1016/j.physa.2016.07.077
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    References listed on IDEAS

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    1. Silva, Luiz Eduardo Virgilio & Cabella, Brenno Caetano Troca & Neves, Ubiraci Pereira da Costa & Murta Junior, Luiz Otavio, 2015. "Multiscale entropy-based methods for heart rate variability complexity analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 143-152.
    2. Gao, Zhong-Ke & Ding, Mei-Shuang & Geng, He & Jin, Ning-De, 2015. "Multivariate multiscale entropy analysis of horizontal oil–water two-phase flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 7-17.
    3. Wu, Shuen-De & Wu, Chiu-Wen & Lee, Kung-Yen & Lin, Shiou-Gwo, 2013. "Modified multiscale entropy for short-term time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 5865-5873.
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    Cited by:

    1. Wang, Yalin & Xu, Yan & Liu, Minghui & Guo, Yao & Wu, Yonglin & Chen, Chen & Chen, Wei, 2022. "Cumulative residual symbolic dispersion entropy and its multiscale version: Methodology, verification, and application," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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